GCD of 398, 400, 427, 782 Calculator

Given Input numbers are 398, 400, 427, 782

In the factoring method, we have to find the divisors of all numbers

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (398, 400, 427, 782) = 1.

Given numbers are 398, 400, 427, 782

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 427 are 7 x 61

Prime factors of 782 are 2 x 17 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 398, 400, 427, 782

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(398, 400) = 79600

GCD(398, 400) = ( 398 x 400 ) / 79600

= 398 / 400

= 398

Step2:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 398, 400, 427, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 919, 866, 812
• GCD of 914, 276, 983, 390
• GCD of 751, 354, 181, 221
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• GCD of 482, 232, 390, 840

Given numbers are 398, 400, 427, 782
The greatest common divisor of numbers 398, 400, 427, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 400, 427, 782 is 1.

1. What is the GCD of 398, 400, 427, 782?

GCD of given numbers 398, 400, 427, 782 is 1

2. How to calculate the greatest common divisor of 398, 400, 427, 782?

We can find the highest common divisor of 398, 400, 427, 782 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 398, 400, 427, 782 i.e 1.

3. How can I use the GCD of 398, 400, 427, 782Calculator?

Out the numbers 398, 400, 427, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.